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Simplifying -3y + -8(-4y + -9) + -1784 = -536 + -1(-5y) Reorder the terms: -3y + -8(-9 + -4y) + -1784 = -536 + -1(-5y) -3y + (-9 * -8 + -4y * -8) + -1784 = -536 + -1(-5y) -3y + (72 + 32y) + -1784 = -536 + -1(-5y) Reorder the terms: 72 + -1784 + -3y + 32y = -536 + -1(-5y) Combine like terms: 72 + -1784 = -1712 -1712 + -3y + 32y = -536 + -1(-5y) Combine like terms: -3y + 32y = 29y -1712 + 29y = -536 + -1(-5y) Remove parenthesis around (-5y) -1712 + 29y = -536 + -1 * -5y Multiply -1 * -5 -1712 + 29y = -536 + 5y Solving -1712 + 29y = -536 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. -1712 + 29y + -5y = -536 + 5y + -5y Combine like terms: 29y + -5y = 24y -1712 + 24y = -536 + 5y + -5y Combine like terms: 5y + -5y = 0 -1712 + 24y = -536 + 0 -1712 + 24y = -536 Add '1712' to each side of the equation. -1712 + 1712 + 24y = -536 + 1712 Combine like terms: -1712 + 1712 = 0 0 + 24y = -536 + 1712 24y = -536 + 1712 Combine like terms: -536 + 1712 = 1176 24y = 1176 Divide each side by '24'. y = 49 Simplifying y = 49
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