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Simplifying 15 + 19y + 19 = -19y + -3(-15y + 19) Reorder the terms: 15 + 19 + 19y = -19y + -3(-15y + 19) Combine like terms: 15 + 19 = 34 34 + 19y = -19y + -3(-15y + 19) Reorder the terms: 34 + 19y = -19y + -3(19 + -15y) 34 + 19y = -19y + (19 * -3 + -15y * -3) 34 + 19y = -19y + (-57 + 45y) Reorder the terms: 34 + 19y = -57 + -19y + 45y Combine like terms: -19y + 45y = 26y 34 + 19y = -57 + 26y Solving 34 + 19y = -57 + 26y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-26y' to each side of the equation. 34 + 19y + -26y = -57 + 26y + -26y Combine like terms: 19y + -26y = -7y 34 + -7y = -57 + 26y + -26y Combine like terms: 26y + -26y = 0 34 + -7y = -57 + 0 34 + -7y = -57 Add '-34' to each side of the equation. 34 + -34 + -7y = -57 + -34 Combine like terms: 34 + -34 = 0 0 + -7y = -57 + -34 -7y = -57 + -34 Combine like terms: -57 + -34 = -91 -7y = -91 Divide each side by '-7'. y = 13 Simplifying y = 13
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