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Simplifying 4(y + -2) + -7 = -3(-6y + 1) + -4y Reorder the terms: 4(-2 + y) + -7 = -3(-6y + 1) + -4y (-2 * 4 + y * 4) + -7 = -3(-6y + 1) + -4y (-8 + 4y) + -7 = -3(-6y + 1) + -4y Reorder the terms: -8 + -7 + 4y = -3(-6y + 1) + -4y Combine like terms: -8 + -7 = -15 -15 + 4y = -3(-6y + 1) + -4y Reorder the terms: -15 + 4y = -3(1 + -6y) + -4y -15 + 4y = (1 * -3 + -6y * -3) + -4y -15 + 4y = (-3 + 18y) + -4y Combine like terms: 18y + -4y = 14y -15 + 4y = -3 + 14y Solving -15 + 4y = -3 + 14y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-14y' to each side of the equation. -15 + 4y + -14y = -3 + 14y + -14y Combine like terms: 4y + -14y = -10y -15 + -10y = -3 + 14y + -14y Combine like terms: 14y + -14y = 0 -15 + -10y = -3 + 0 -15 + -10y = -3 Add '15' to each side of the equation. -15 + 15 + -10y = -3 + 15 Combine like terms: -15 + 15 = 0 0 + -10y = -3 + 15 -10y = -3 + 15 Combine like terms: -3 + 15 = 12 -10y = 12 Divide each side by '-10'. y = -1.2 Simplifying y = -1.2
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