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Simplifying 4(y + -3) + 3 = -1(5y + -21) + y Reorder the terms: 4(-3 + y) + 3 = -1(5y + -21) + y (-3 * 4 + y * 4) + 3 = -1(5y + -21) + y (-12 + 4y) + 3 = -1(5y + -21) + y Reorder the terms: -12 + 3 + 4y = -1(5y + -21) + y Combine like terms: -12 + 3 = -9 -9 + 4y = -1(5y + -21) + y Reorder the terms: -9 + 4y = -1(-21 + 5y) + y -9 + 4y = (-21 * -1 + 5y * -1) + y -9 + 4y = (21 + -5y) + y Combine like terms: -5y + y = -4y -9 + 4y = 21 + -4y Solving -9 + 4y = 21 + -4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4y' to each side of the equation. -9 + 4y + 4y = 21 + -4y + 4y Combine like terms: 4y + 4y = 8y -9 + 8y = 21 + -4y + 4y Combine like terms: -4y + 4y = 0 -9 + 8y = 21 + 0 -9 + 8y = 21 Add '9' to each side of the equation. -9 + 9 + 8y = 21 + 9 Combine like terms: -9 + 9 = 0 0 + 8y = 21 + 9 8y = 21 + 9 Combine like terms: 21 + 9 = 30 8y = 30 Divide each side by '8'. y = 3.75 Simplifying y = 3.75
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