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Simplifying 0.3(5y + -7) + -0.2(3y + 4) = 0.1(8y + -3) Reorder the terms: 0.3(-7 + 5y) + -0.2(3y + 4) = 0.1(8y + -3) (-7 * 0.3 + 5y * 0.3) + -0.2(3y + 4) = 0.1(8y + -3) (-2.1 + 1.5y) + -0.2(3y + 4) = 0.1(8y + -3) Reorder the terms: -2.1 + 1.5y + -0.2(4 + 3y) = 0.1(8y + -3) -2.1 + 1.5y + (4 * -0.2 + 3y * -0.2) = 0.1(8y + -3) -2.1 + 1.5y + (-0.8 + -0.6y) = 0.1(8y + -3) Reorder the terms: -2.1 + -0.8 + 1.5y + -0.6y = 0.1(8y + -3) Combine like terms: -2.1 + -0.8 = -2.9 -2.9 + 1.5y + -0.6y = 0.1(8y + -3) Combine like terms: 1.5y + -0.6y = 0.9y -2.9 + 0.9y = 0.1(8y + -3) Reorder the terms: -2.9 + 0.9y = 0.1(-3 + 8y) -2.9 + 0.9y = (-3 * 0.1 + 8y * 0.1) -2.9 + 0.9y = (-0.3 + 0.8y) Solving -2.9 + 0.9y = -0.3 + 0.8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.8y' to each side of the equation. -2.9 + 0.9y + -0.8y = -0.3 + 0.8y + -0.8y Combine like terms: 0.9y + -0.8y = 0.1y -2.9 + 0.1y = -0.3 + 0.8y + -0.8y Combine like terms: 0.8y + -0.8y = 0.0 -2.9 + 0.1y = -0.3 + 0.0 -2.9 + 0.1y = -0.3 Add '2.9' to each side of the equation. -2.9 + 2.9 + 0.1y = -0.3 + 2.9 Combine like terms: -2.9 + 2.9 = 0.0 0.0 + 0.1y = -0.3 + 2.9 0.1y = -0.3 + 2.9 Combine like terms: -0.3 + 2.9 = 2.6 0.1y = 2.6 Divide each side by '0.1'. y = 26 Simplifying y = 26
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